Chp. 4.3 ­ Sample Spaces and Theoretical Probability
December 11, 2012
Date:
Chapter: Chapter 4:3 ­­> Sample Spaces and Theoretical
Probability
Objectives: Determine sample space using various methods
Find theoretical probabilities
Integrated Math II
Chp. 4.3 ­ Sample Spaces and Theoretical Probability
December 11, 2012
Notes:
*Event = Any possible outcome or combination of outcomes of an experiment.
*Sample Space = Set of all possible outcomes of an experiment.
*Tree Diagram = Common diagram used to organize and show a sample space.
*Fundamental Counting Principle = If there are 2 or more stages of an activity, the total # of possible outcomes is the product of the # of possible outcomes of each stage.
*Theoretical Probability = "ideal" experiment.
P(E) = # of favorable outcomes
# of possible outcomes
Integrated Math II
Chp. 4.3 ­ Sample Spaces and Theoretical Probability
December 11, 2012
Examples:
Ex. 1
A coin is tossed and a # cube is rolled. How many possible outcomes are there?
Ex. 2
A pizza parlor offers 3 sizes of pizza: large (L), medium (M), and small (S). It also offers 3 toppings: cheese (C), peppers (P), and onions (O). How many different pizzas w/ 1 topping are available? Use a tree diagram.
Ex. 3 A retail store sells shirts in 8 different sizes. For each size, there is a choice of 5 colors. For each color, there is a choice of 6 patterns. How many different kinds of shirts does the store have? Use the Fundamental Counting Principle.
Ex. 4
A card is picked at random from a set of 12 marked with the numbers 1­12. Find P(odd #s > 5).
Integrated Math II
Chp. 4.3 ­ Sample Spaces and Theoretical Probability
Homework:
p. 160 (#9­15, 17­19, 21, 22)
Integrated Math II
December 11, 2012